Courses Taught at the University of New Mexico

Classroom Courses (31 sections; FS 2012 - FS 2025)

Topics in Probability Theory (graduate, topics), FS 2020 (online), FS 2023
Functional Analysis (graduate, topics), WS 2014
Harmonic Analysis (graduate, topics), WS 2013
Introduction to Multivariable Analysis & Lebesgue Integration (graduate), WS 2020 (half online), WS 2021 (online), WS 2025
Introduction to Multivariable Analysis (graduate), WS 2015
Introduction to Analysis (graduate), FS 2014, FS 2019, FS 2024
Applied Matrix Theory (graduate), FS 2017
MCTP: Matrix Analysis and Spectral Theory (new pre-REU topics course), SS 2013, set of Lectures
Advanced Calculus II, WS 2025
Advanced Calculus I, WS 2017
Linear Algebra (with proofs), WS 2014, FS 2021 (half online), FS 2025
Complex Variables, WS 2013 (for Engineering), FS 2014, FS 2016, FS 2017, FS 2021 (half online), FS 2023
Linear Algebra with Applications, FS 2012, WS 2015, 2 in FS 2015, 2 in WS 2016, restructured & coordinated in WS 2024

Individual Study Courses (20 sections; FS 2012 - FS 2025)

Topics in Analysis and Probability (PhD, topics), WS 2022
Analysis Seminar (PhD, topics in operator theory), FS 2016
Functional Calculus of Operators, Schatten Ideals, Approximation Theory, Vector-vector Integration, Differential Equations (PhD, topics), FS 2014
Differentiation of Operator Functions (PhD, topics), WS 2015
Taylor Approximation of Operator Functions (PhD, topics), FS 2015, WS 2016
Spectral Shift Functions (undergraduate, topics), FS 2016, WS 2017
Spectral Theory of Matrices (undergraduate, topics), FS 2013, WS 2014
Linear Algebra (undergraduate topics), FS 2017
PhD Dissertation, FS 2015, WS 2016, FS 2016, WS 2017, WS 2023, FS 2023, FS 2024, WS 2025

Courses Taught at the University of Central Florida (6 sections; FS 2010 - WS 2012)

Advanced Calculus II, WS 2011
Introduction to Complex Variables for Mathematics, WS 2012
Differential Equations, 2 in FS 2011
4-hour Calculus with Analytic Geometry III, 2 in FS 2010

Courses Taught at Texas A&M University (9 sections; FS 2007 - WS 2010)

Methods of Applied Mathematics I (graduate), FS 2008
Differential Equations, FS 2007, WS 2008, 2 in WS 2009, 2 in FS 2009
Calculus III, WS 2008, WS 2010

Courses Taught at the University of Missouri (20 sections; FS 2002 - WS 2007)

Calculus III lab assistant, SS 2002, WS 2003-WS 2004, FS 2005
Calculus II, 2 in WS 2003-WS 2004, 2 in FS 2005-WS 2006, SS 2006 (5-hour), 2 in FS 2006-WS 2007
Analytic Geometry and Calculus I, 2 in FS 2002
Finite Mathematics and its Applications, 2 in WS 2005
5-hour College Algebra for Calculus Bound Students, FS 2004

Precollege Teaching

Teaching training at a public school in Kharkiv, Ukraine, 1999 - 2000

Teaching by Semester

2025, Fall: Linear Algebra with Proofs (Math 321)
2025, Spring: Advanced Calculus II (Math 402) + Introduction to Analysis II with Lebesgue integration (Math 511) + Dissertation (Math 699) 9 credit hours
2024, Fall: Introduction to Analysis I (Math 510) + Dissertation (Math 699) 9 credit hours
2024, Spring: Linear Algebra with Applications (Math 314) + coordination
2023, Fall: Topics in Probability Theory (Math 549/Stat 569) + Complex Variables (Math 313) + Dissertation (Math 699) 9 credit hours
2023, Spring: Dissertation (Math 699), 9 credit hours
2022, Spring: Topics in Analysis and Probability (Math 650) + 1 course buy-out.
2021, Fall: Complex Variables (Math 313) + Linear Algebra with Proofs (Math 321).
2021, Spring: Introduction to Analysis II with Lebesgue integration (Math 511).
2020, Fall: Topics in Probability Theory (Math 439/549).
2020, Spring: Introduction to Analysis II with Lebesgue integration (Math 511).
2019, Fall: Introduction to Analysis I (Math 510).
2018, Spring: 2 course buy-outs.
2017, Fall: Applied Matrix Theory (Math 464/514) + Complex Variables (Math 313) + Individual Study (Math 499)
2017, Spring: Advanced Calculus I (Math 401) + Spectral Shift Functions (Math 499) + Dissertation (Math 699) + 1 course buy-out.
2016, Fall: Seminar in Analysis (Math 679) + Complex Variables for Engineering (Math 313) + Spectral Shift Functions (Math 499) + Dissertation (Math 699) + 1 course buy-out.
2016, Spring: Linear Algebra with Applications (Math 314), 2 sections + Taylor Approximation of Operator Functions (Math 650) + Dissertation (Math 699).
2015, Fall: Linear Algebra with Applications (Math 314), 2 sections + Taylor Approximation of Operator Functions (Math 650) + Dissertation (Math 699).
2015, Spring: Introduction to Analysis II (Math 511) + Linear Algebra with Applications (Math 314) + Differentiation of Operator Functions (Math 650).
2014, Fall: Introduction to Analysis I (Math 510) + Complex Variables (Math 313) + Functional Calculus of Operators, Schatten Ideals, Approximation Theory, Vector-vector Integration, Differential Equations (Math 650).
2014, Spring: Functional Analysis (Math 581) + Linear Algebra with Proofs (Math 321) + Spectral Theory of Matrices (Math 499).
2013, Fall: Spectral Theory of Matrices (Math 499).
2013, Summer: Matrix Analysis and Spectral Theory (pre-REU topics course).
2013, Spring: Harmonic Analysis (Math 565) + Complex Variables for Engineering (Math 313).
2012, Fall: Linear Algebra with Applications (Math 314).
2012, Spring: Introduction to Complex Variables (MAA 4402).
2011, Fall: Differential Equations (MAP 2302), 2 sections.
2011, Spring: Advanced Calculus II (MAA 4227).
2010, Fall: 4-hour Calculus with Analytic Geometry III (MAC 2313), 2 sections.
2010, Spring: Calculus III (Math 251).
2009, Fall: Differential Equations (Math 308), 2 sections.
2009, Spring: Differential Equations (Math 308), 2 sections.
2008, Fall: Methods of Applied Mathematics I (Math 601).
2008, Spring: Differential Equations (Math 308) + Calculus III (Math 251).
2007, Fall: Differential Equations (Math 308).
2007, Spring: Calculus II (Math 1700), 2 sections + lab assistant/grader for Calculus III (Math 2300).
2006, Fall: Calculus II (Math 1700), 2 sections + lab assistant/grader for Calculus III (Math 2300).
2006, Summer: 5-hour Calculus II (Math 1700).
2006, Spring: Calculus II (Math 1700), 2 sections + lab assistant/grader for Calculus III (Math 2300).
2005, Fall: Calculus II (Math 1700), 2 sections + lab assistant/grader for Calculus III (Math 2300).
2005, Spring: Finite Mathematics (Math 1300), 2 sections.
2004, Fall: 5-hour College Algebra (Math 1100).
2004, Spring: Calculus II (Math 1700), 2 sections + lab assistant/grader for Calculus III (Math 2300).
2003, Fall: Calculus II (Math 1700), 2 sections, + lab assistant/grader for Calculus III (Math 2300).
2003, Spring: Calculus II (Math 1700), 2 sections + lab assistant/grader for Calculus III (Math 2300).
2002, Fall: Analytic Geometry and Calculus I (Math 1500), 2 sections.
2002, Summer: lab assistant and grader for Calculus III (Math 2300).

Summary: total of 66 classroom sections and 20 individual study sections taught before Winter 2026. Among them 24 different classroom and 6 different individual study courses, 56+6 preps total.